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DEFORMATION OF ROCKS IN DEPTH                                         45
             for the field development (compaction drive). Transitional zones may form at the
             boundary, involving additional compaction in the reservoir rocks and under-
             compaction in the caprocks.
                Rocks are quite heterogeneous and are in an unstable state in the subsurface.
             They are further destabilized because of non-uniform temperature distribution. Even
             on considering formation temperature as resulting from the heat flow, and even if the
             heat flow in the area is constant, the temperature of rocks will differ in different parts
             of the area. Heat flow is related to the temperature drop as follows:

                        dT
                  q ¼ l                                                          (3.5)
                   l
                        dD
                                                    2
             where q l ¼ the conductive heat flow (MW/m ), l ¼ the heat conductivity (W/m 1C),
             dT and dD ¼ the temperature and depth differences (1C and m, respectively).
                Heat conductivity depends not only on the properties of rocks, but also on their
             oil- or water-saturation, temperature, and pressure. As an example, the heat
             conductivity of dry rocks in Belorussia was as follows: clays — 1.02–1.56 W/m 1C;
             sandstones — 1.34–2.12 W/m 1C; limestones — 1.67–3.44 W/m 1C (Sergiyenko,
             1984). Consequently, the temperature of rocks also changes depending on the
             properties of minerals composing the rock and on the water and oil saturations, with
             all other variables being equal.
                The above discussion shows that temperature affects the sealing properties of
             rocks. Table 3.1 shows changes for the most reliable caprocks (Dobrynin and
             Kuznetsov, 1993, p. 106). As the table indicates, the necessary caprock thickness
             over the oil accumulations at the given temperatures is always higher than over the
             gas accumulations. This is mainly due to different interfacial tensions at the oil/water
             and gas/water contacts. Some improvement in sealing capacity at 601C as compared
             to 401C is due to a decrease in pore diameter and, consequently, to a lower
             permeability.
                Interfacial tension also depends on temperature:

                  d ¼ d 0 ½1   oðT   T 0 ފ                                      (3.6)
             where o is the temperature expansion coefficient (0.002 for the water) and (T T 0 ) is
             the temperature difference (1C).
             TABLE 3.1

             Type of Dh reservoir ¼ f ðDh caprock Þ relationship for most reliable argillaceous caprocks of gas and oil
             accumulations
             T (1C)                    Accumulation                       Equation
             40                        Gas                           Dh reservoir ¼ 4Dh caprock
                                       Oil                           Dh reservoir ¼ 17Dh caprock
             60                        Gas                           Dh reservoir ¼ 2Dh caprock
                                       Oil                           Dh reservoir ¼ 7Dh caprock
             Dh reservoir ¼ reservoir thickness; Dh caprock ¼ caprock thickness:
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